The 25-year-old Frenchman suffered a serious head injury earlier this month after hitting a recovery vehicle during the race.
Bianchi is currently being treated by medical staff in the Mie General Medical Center in Yokkaichi, Japan.
A statement from the Bianchi family via Marussia read: "The past nine days have been extremely difficult for Jules and his family. As a consequence of the accident at Suzuka, a number of medical challenges have needed to be overcome and the situation remains challenging due to the diffuse axonal traumatic brain injury Jules has sustained.
"Jules remains in a critical but stable condition in the Intensive Care Unit of Mie General Medical Center in Yokkaichi. The Bianchi family continue to be comforted by the thoughts and prayers of Jules' many fans and the motor sport community. In particular, the many demonstrations of support and affection during the course of the Russian Grand Prix in Sochi were of enormous comfort to Jules' parents and the relatives and friends also present at the hospital."
Bianchi's father recently described the situation as "desperate".